SOLUTION: a tiger running 100m race, accelerates for one third time of the total time and then moves with uniform speed. then find the total time taken by the tiger to run 100 m if the accel

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Question 977405: a tiger running 100m race, accelerates for one third time of the total time and then moves with uniform speed. then find the total time taken by the tiger to run 100 m if the acceleration of the tiger is 8m/s square is?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
While accelerating,
d%5B1%5D=%281%2F2%29at%5E2
d%5B1%5D=%281%2F2%298%28T%2F3%29%5E2
d%5B1%5D=%284%2F9%29T%5E2
While at constant speed,
d%5B2%5D=v%5B2%5D%2A%282%2F3%29T
Since the acceleration is constant, the speed at time, T%2F3, is
v%5B2%5D=%288%29%28T%2F3%29=%288%2F3%29T
So,
d%5B2%5D=%288%2F3%29T
Finally,
d%5B1%5D%2Bd%5B2%5D=100
%282%2F3%29T%5E2%2B%288%2F3%29T=100
T%5E2%2B4T-150=0
T%5E2%2B4T%2B4-150=4
%28T%2B2%29%5E2=154
T%2B2=0+%2B-+sqrt%28154%29
T=-2+%2B-+sqrt%28154%29
Since only positive T makes sense here,
T=-2+%2B+sqrt%28154%29s